Specifically, let χ be a character modulo k. Then we can write its Dirichlet L-function as

Specifically, in quantum mechanics, the state of an atom, i. e. an eigenstate of the atomic Hamiltonian, is approximated by an expansion ( see configuration interaction expansion and basis set ) into linear combinations of anti-symmetrized products ( Slater determinants ) of one-electron functions.

Specifically, is the neuter plural of, an adjective related to the verb ἀποκρύπτω ἀποκρύπτειν ( apocriptein ), " to hide something away.

Specifically, at speeds of OC-3 and above, the cost of segmentation and reassembly ( SAR ) hardware makes ATM less competitive for IP than Packet Over SONET ( POS ); because of its fixed 48-byte cell payload, ATM is not suitable as a data link layer directly underlying IP ( without the need for SAR at the data link level ) since the OSI layer on which IP operates must provide a maximum transmission unit ( MTU ) of at least 576 bytes.

* Specifically, a text added to the end of a book or an article, containing information that is important to, but is not the main idea of, the main text

Specifically, in one of his last works, De scientia divina, he concludes that the idea of plurality itself is strictly temporal, a human notion.

Specifically, if A is a linear operator and is a bra, then is another bra defined by the rule

Specifically it is the amount of a substance that contains as many elementary entities ( atoms, molecules or ions ) as there are atoms in 0. 012 kilogram ( or 12 grams ) of carbon-12, where the carbon-12 atoms are unbound, at rest and in their ground state.

Specifically for fluids, the Knudsen number is used to assess to what extent the approximation of continuity can be made.

Specifically, after acknowledging the various popular theories in vogue at the time, of how atoms were reasoned to attach to each other, i. e. " hooked atoms ", " glued together by rest ", or " stuck together by conspiring motions ", Newton states that he would rather infer from their cohesion, that " particles attract one another by some force, which in immediate contact is exceedingly strong, at small distances performs the chemical operations, and reaches not far from the particles with any sensible effect.

Specifically, to minimize the cutting down of trees for fuel, kerosene is being subsidized, and efforts are being made to replace the loss of the forest cover caused by ylang-ylang distillation for perfume.

Specifically, a topological space is compact if, whenever a collection of open sets covers the space, some subcollection consisting only of finitely many open sets also covers the space.

Specifically, the timescale for beta-decay of radioactive nuclei produced is faster than the timescale for fusion.

Specifically, if p is the natural length of a section of spring, then the length of the spring with tension T applied has length

Specifically, if one or more of the produced neutrons themselves interact with other fissionable nuclei, and these also undergo fission, then there is a possibility that the macroscopic overall fission reaction will not stop, but continue throughout the reaction material.

Specifically, the table provides conflicting answers to the question of what this particular employee's address is.

Specifically, if he / she chooses to determine the path, then he / she has no influence whatsoever over which of the two paths, the left one or the right one, nature will tell him / her is the one in which the particle is found.

Specifically, it is a non-trivial ring in which every non-zero element a has a multiplicative inverse, i. e., an element x with.

Specifically, it is a vector field.

Specifically, it is claimed that Ezekiel himself may have suffered from temporal lobe epilepsy, which has several characteristic symptoms that are apparent from his writing.

Specifically, by the Casorati – Weierstrass theorem, for any transcendental entire function f and any complex w there is a sequence with, is necessarily a polynomial, of degree at least n.

Specifically, the distribution of this trait suggests that this need may have ( initially ) grown so intense at certain ( early ) points that those among said ( initially more deeply pigmented skinned ) Northern-migrants with mutations for straighter hair survived and had children at ( somewhat ) higher rates.

Specifically, McVeigh arranged the barrels in the shape of a backwards J ; he later said that for pure destructive power, he would have put the barrels on the side of the cargo bay closest to the Murrah Building ; however, such an unevenly distributed load might have broken an axle, flipped the truck over, or at least caused it to lean to one side, which could have drawn attention.

A category C is said to have limits of type J if every diagram of type J has a limit in C. Specifically, a category C is said to

Specifically, a function between measurable spaces is said to be measurable if the preimage of each measurable set is measurable, analogous to the situation of continuous functions between topological spaces.

But the Lovett Court said that a bill of attainder 1 ) Specifically identified the people to be punished ; 2 ) Imposed punishment ; and 3 ) Did so without benefit of judicial trial.

Specifically there were practitioners of the technique that said of a mesmerized person " the person is back animal " meaning " the person is back in a natural mental state where she / he recovers his / her most primitive part of the mind ".

Specifically, PhRMA will focus on helping to successfully implement and improve the health reform legislation passed in 2010 under President Obama with a particular emphasis on rewarding innovation. Jeffrey Kindler, the chairman of Pfizer and former chairman of PhRMA, when commenting on Castellani's move from the Business Roundtable to PhRMA, said, “ John is the gold standard, and I ’ m extremely pleased that he will lead our team.

Specifically, a complex number λ is said to be in the spectrum of a bounded linear operator T if λI − T is not invertible, where I is the identity operator.

Specifically the belief was that the movement was based on a canon called " Ta ta ta ... Lieber Maelzel ", WoO 162, said to have been improvised at a dinner party in Maelzel's honor in 1812.

Specifically, Article 6 of the treaty states that if any captured Americans, be it done by Moroccans or by other Barbary Coast states dock at a Moroccan city, said Americans would be set free and be under the protection of the Moroccan state.

Specifically, 73 % said they would choose MUM again, more than twice the national average of 32 %.

Specifically, Justice Roberts said:

Specifically, Randolph promoted the Principles of ' 98, which said that individual states could judge the constitutionality of central government laws and decrees, and could refuse to enforce laws deemed unconstitutional.

Specifically, Wallace Koehler, a technician working for the Manhattan Project at Chicago Pile 1, under Stagg Field at the University of Chicago, and later a research physicist at ORNL, reportedly said that Enrico Fermi coined the term as this acronym.

Specifically the report highlighted the flood warning system and said the scale of the damage could have been avoided if the agency had issued more advice to those living in the worst affected areas and noted " People who do not understand what they can do to protect themselves when they are warned are not protected.

Specifically he said that whilst Gordon Brown was quite serious about pursuing talks, he accused former minister Ed Balls of " sabotaging " the talks.

In the report by Major General Antonio M. Taguba regarding the alleged acts of brutality, abuse, and torture at the Enemy Prisoner of War facility at Abu Ghraib and other Enemy Prisoner of War Camps in Iraq and Afghanistan, Taguba said, "' Specifically I suspect that Col. Thomas M. Pappas, Lt. Col. Steve L. Jordan, Mr. Steven Stephanowicz and Mr. John Israel were either directly or indirectly responsible for the abuses at Abu Ghraib and strongly recommend immediate disciplinary actions ..."

Specifically, he said, " I would want to see a path to legalization of people who have been living in this country a certain period of time ... and have not gotten in trouble with the law ( or ) been a big burden to society in terms of social care.

Specifically, she said: “ It ’ s only recently that I ’ ve questioned the way that I ’ ve been consuming.

Specifically, a space X is said to be first-countable if each point has a countable neighbourhood basis ( local base ).

Specifically, Jesus first touched the man's ears, and touched his tongue after spitting, and then said Ephphatha !, an Aramaic word meaning Be opened.

" Specifically, they said, " there was no obligation to confirm someone just because they are scholarly or erudite.

Specifically, the House managers said Ritter engaged in champerty (" a proceeding whereby a person having no legitimate interest in a lawsuit abets it with money or services in the hope of profit ") by " corruptly and unlawfully " receiving $ 4, 500 from a former law partner, Albert L. Rankin.